Q. Two conducting circular loops of radii $R_1$ and $R_2$ are placed in the same plane with their centres coinciding. If $R_1 >> R_2$, the mutual inductance M between them will be directly proportional to:

A) $\frac{R_2}{R_1}$
B) $\frac{R_1^2}{R_2}$
C) $\frac{R_2^2}{R_1}$
D) $\frac{R_1}{R_2}$
Explanation

[Solution] $\phi_2 = \frac{\mu_0 I}{2R_1}\pi R_2^2$, so $M = \frac{\mu_0\pi R_2^2}{2R_1} \propto R_2^2/R_1$. Answer (3).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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